A variable plane `x/a+y/b+z/c=1` at a unit distance from origin cuts the coordinate axes at `A, B` and `C`. Centroid `(x

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Q 1237434382.     A variable plane `x/a+y/b+z/c=1` at a unit distance from origin cuts the coordinate axes at `A, B` and `C`. Centroid `(x, y, z)` satisfies the equation `1/x^2+1/y^2+1/z^2=K` . The value of `K` is
JEE 1983
A

`1//9`

B

`1//6`

C

`9`

D

`6`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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